Research was done to study which factors are related to levee failure on the lower Mississippi River. One variable considered as a possible explanatory variable was the amount of constriction factor in the river at that location. The data are in the file Levee Failures. The output is given below: LevFail Coefficients Term Constant Coef SE Coef Z-Value P-Value 0.571 0.350 1.63 0.102 ConstrictionFactor -0.691 0.346 -2.00 0.046 a. State the null hypothesis that the P-value 0.046 allows you to test. b. What happens to the probability of a levee failure as the constriction factor gets larger? Explain. c. Find a 95% confidence interval for the slope parameter in the logistic model.